442 Вправа 442Алгебра 8 клас Бевз 2025 · § 9 · стор. 90

442. Спрости вираз.

а) ${\displaystyle m^{-6}\cdot m^4=}$${\displaystyle m^{-6+4}=}$${\displaystyle m^{-2}}$;

б) ${\displaystyle a^{12}\cdot a^0=}$${\displaystyle a^{12+0}=}$${\displaystyle a^{12}}$;

в) ${\displaystyle p^{12}\cdot p^5=}$${\displaystyle p^{12+5}=}$${\displaystyle p^{17}}$;

г) ${\displaystyle a^7:a^{-5}=}$${\displaystyle a^{7+5}=}$${\displaystyle a^{12}}$;

ґ) ${\displaystyle a^{-9}:a^{-3}=}$${\displaystyle a^{-9+3}=}$${\displaystyle a^{-6}}$;

д) ${\displaystyle a^{16}\cdot a^{-20}:a^{-3}=}$${\displaystyle a^{16-20+3}=}$${\displaystyle a^{-1}}$;

е) ${\displaystyle a^{-4}\cdot {\left(a^{-3}\right)}^{-2}=}$${\displaystyle a^{-4}\cdot a^{\left(-3\right)\cdot \left(-2\right)}=}$${\displaystyle a^{-4}\cdot a^6}$=

=${\displaystyle a^{-4+6}=}$${\displaystyle a^2}$;

є) ${\displaystyle {\left(x^{-3}\right)}^9:{\left(x^2\right)}^{-6}\cdot x^6=}$${\displaystyle x^{-3\cdot 9}:x^{2\cdot \left(-6\right)}\cdot x^6}$=

=${\displaystyle x^{-27}:x^{-12}\cdot x^6=}$${\displaystyle x^{-27+12+6}=}$${\displaystyle x^{-9}}$.